Dimension and universality on frames.

DOI10.1016/j.topol.2015.12.029zbMath1338.06009OpenAlexW2221445254MaRDI QIDQ5963959

Stavros Iliadis

Publication date: 26 February 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.029

zbMATH Keywords

decomposition invariantsdimension on framessaturated classes of framesuniversal frames

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces and generalizations (closure spaces, etc.) (54A05) Topological lattices, etc. (topological aspects) (54H12) Frames, locales (06D22) Applications of set theory (03E75) Ordered topological structures (06F30) Models with special properties (saturated, rigid, etc.) (03C50)

Related Items (8)

Covering dimension and universality property on frames ⋮ Small inductive dimension and universality on frames ⋮ Homotopy and universality ⋮ Universal elements in classes of bases of frames ⋮ A study of a new dimension for frames ⋮ Universality on frames ⋮ Universality property and dimension for frames ⋮ On sheaves of Abelian groups and universality

Cites Work

• Universal frames
• Separating families of locale maps and localic embeddings
• Universal regular and completely regular frames.
• Frames and Locales
• A New Covering Dimension Function for Uniform Spaces
• Dimension Theory for Σ-Frames
• Atomless Parts of Spaces.
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